To solve for the x and y of each point, you need to solve the systems in each dark blue box.
Let's solve them from left to right.
2x - y = -13
-x + y = 9
Always make sure the second equation has one term that is opposite the first. In this case it is y and -y.
Once the terms are opposite, add both equations.
x=-4
Plug the value you got into one of the original equations.
-x + y = 9
4 + y = 9
y = 5
This blue box matches with the point at (-4, 5)
Now that you know how the basic process goes, you can follow along with the next boxes.
2nd Box:
3x + 2y = 10
12x - 2y = 20
15x = 30
x = 2
6 + 2y = 10
2y = 4
y = 2
final answer = (2,2)
3rd Box:
8x - 6y = 10
9x + 6y = -27
17x = -17
x=-1
-8 - 6y = 10
-6y = 18
y = -3
final answer = (-1, -3)
4rth box:
x + y = 7
x - y = -1
2x = 6
x = 3
3 + y = 7
y = 4
final answer = (3,4)
5th box:
(make sure the x and y are on the same side)
3x - y = 7
2x - y = 5
3x - y = 7
-2x + y = -5
x = 2
6 - y = 7
y = -1
final answer = (2,-1)
6th box:
(you can use process of elimination but this one gives you the answer already
final answer = (-5,6)
